ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Podlazov A. V. New model of the interface depinning and soft universality in the theory of self-organized criticality. Izvestiya VUZ. Applied Nonlinear Dynamics, 1999, vol. 7, iss. 6, pp. 3-16. DOI: 10.18500/0869-6632-1999-7-6-3-16

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Language: 
Russian
Heading: 
Autowaves. Self-organization
Article type: 
Article
UDC: 
001.18
DOI: 
10.18500/0869-6632-1999-7-6-3-16

New model of the interface depinning and soft universality in the theory of self-organized criticality

Autors: 
Podlazov Andrej Viktorovich, Keldysh Institute of Applied Mathematics (Russian Academy of Sciences)
Abstract: 

We developed a new self—organized critical model of the interface depinning. This model demonstrates the possibility to change а single critical index by varying the model’s parameter without other indices being affected. We refer this as the soft universality to distinguish the model proposed from traditional critical systems having a set of indices, which are strictly defined by the rules. In order to change this indices one need to change the rules of е model drastically changing therefore its universality class. 
Besides, the paper includes a brief review of the works on interface growth anddepinning models.

Key words: 
-
Acknowledgments: 
I consider it a pleasant duty to thank G.G. Malinetsky for support and discussion and Y.A. Danilov for help in finding Russian analogs for a number of terms. This work was supported by the Russian Foundation for Basic Research (grant 97-01-00396).
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Received: 
19.05.1999
Accepted: 
11.10.1999
Published: 
01.02.2000
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